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Finding the Fourth Proportional to 9,203.16, 13,806.90 and 2,629.44

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Solution

The fourth proportional to 9,203.16, 13,806.90 and 2,629.44 is: 3,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.16 : 13,806.90 = 2,629.44 : x
  2. Step 2: Convert to fraction form
    9,203.16/13,806.90 = 2,629.44/x
  3. Step 3: Cross multiply
    9,203.16x = 13,806.90 × 2,629.44
  4. Step 4: Simplify right side
    9,203.16x = 36,304,415.14
  5. Step 5: Solve for x
    x = 36,304,415.14/9,203.16
  6. Step 6: Final answer
    x = 3,944.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.